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Finding the Fourth Proportional to 5,383.12, 8,072.22 and 1,920.44

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Solution

The fourth proportional to 5,383.12, 8,072.22 and 1,920.44 is: 2,879.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,383.12 : 8,072.22 = 1,920.44 : x
  2. Step 2: Convert to fraction form
    5,383.12/8,072.22 = 1,920.44/x
  3. Step 3: Cross multiply
    5,383.12x = 8,072.22 × 1,920.44
  4. Step 4: Simplify right side
    5,383.12x = 15,502,214.18
  5. Step 5: Solve for x
    x = 15,502,214.18/5,383.12
  6. Step 6: Final answer
    x = 2,879.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.